Information on Result #599259
There is no digital (79, 235, 251)-net over F3, because extracting embedded orthogonal array would yield linear OA(3235, 251, F3, 156) (dual of [251, 16, 157]-code), but
- residual code [i] would yield OA(379, 94, S3, 52), but
- 1 times truncation [i] would yield OA(378, 93, S3, 51), but
- the linear programming bound shows that M ≥ 2117 985825 855951 548682 979121 686352 501183 391624 / 117 447583 > 378 [i]
- 1 times truncation [i] would yield OA(378, 93, S3, 51), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (79, 236, 251)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 237, 251)-net over F3 | [i] | ||